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Finding the Third Proportional to 160,302.38 and 250,158.38

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Solution

The third proportional to 160,302.38 and 250,158.38 is: 390,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,302.38 : 250,158.38 = 250,158.38 : x
  2. Step 2: Convert to fraction form
    160,302.38/250,158.38 = 250,158.38/x
  3. Step 3: Cross multiply
    160,302.38x = 250,158.38 × 250,158.38
  4. Step 4: Simplify right side
    160,302.38x = 62,579,212,582.64
  5. Step 5: Solve for x
    x = 62,579,212,582.64/160,302.38
  6. Step 6: Final answer
    x = 390,382.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.